2575214400 has 672 divisors, whose sum is σ = 10340766720. Its totient is φ = 552960000.

The previous prime is 2575214353. The next prime is 2575214437. The reversal of 2575214400 is 44125752.

2575214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17054325 + ... + 17054475.

Almost surely, 2^2575214400 is an apocalyptic number.

2575214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170383360).

2575214400 is an abundant number, since it is smaller than the sum of its proper divisors (7765552320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2575214400 is a wasteful number, since it uses less digits than its factorization.

2575214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2575214400 is about 50746.5703274615. The cubic root of 2575214400 is about 1370.6854332007.

The spelling of 2575214400 in words is "two billion, five hundred seventy-five million, two hundred fourteen thousand, four hundred".